21331807742700 has 864 divisors, whose sum is σ = 87307496407040. Its totient is φ = 4230280857600.

The previous prime is 21331807742699. The next prime is 21331807742747. The reversal of 21331807742700 is 724770813312.

21331807742700 is a `hidden beast` number, since 2 + 133 + 180 + 7 + 74 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 197570730 + ... + 197678670.

Almost surely, 2^{21331807742700} is an apocalyptic number.

21331807742700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21331807742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43653748203520).

21331807742700 is an abundant number, since it is smaller than the sum of its proper divisors (65975688664340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21331807742700 is a wasteful number, since it uses less digits than its factorization.

21331807742700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108127 (or 108117 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 21331807742700 in words is "twenty-one trillion, three hundred thirty-one billion, eight hundred seven million, seven hundred forty-two thousand, seven hundred".